The relation between them is obtained as below.

images

Since the rows are vectors, we get X3 - X2 + 2X1 = 0 which is the relation between the vectors.

Note The rows of the matrix are the given vectors. So, only row operations must be used to find the relationship between the vectors.

1.6.2 Eigen Values and Eigen Vectors

Definition 1.32 Let A be a square matrix of order n. A number λ is called an eigen value of A if there exists a non-zero column matrix X such that AX = λX. Then X is called an eigen vector of A corresponding to λ.

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